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Finding the Fourth Proportional to 9,285.76, 12,813.96 and 5,093.76

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Solution

The fourth proportional to 9,285.76, 12,813.96 and 5,093.76 is: 7,029.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,285.76 : 12,813.96 = 5,093.76 : x
  2. Step 2: Convert to fraction form
    9,285.76/12,813.96 = 5,093.76/x
  3. Step 3: Cross multiply
    9,285.76x = 12,813.96 × 5,093.76
  4. Step 4: Simplify right side
    9,285.76x = 65,271,236.89
  5. Step 5: Solve for x
    x = 65,271,236.89/9,285.76
  6. Step 6: Final answer
    x = 7,029.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.